10409378696128 has 56 divisors (see below), whose sum is σ = 21007519691760. Its totient is φ = 5116156354560.

The previous prime is 10409378696117. The next prime is 10409378696131. The reversal of 10409378696128 is 82169687390401.

It is a super-2 number, since 2×10409378696128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10409378696128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67819600 + ... + 67972912.

It is an arithmetic number, because the mean of its divisors is an integer number (375134280210).

Almost surely, 2^{10409378696128} is an apocalyptic number.

It is an amenable number.

10409378696128 is an abundant number, since it is smaller than the sum of its proper divisors (10598140995632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10409378696128 is a wasteful number, since it uses less digits than its factorization.

10409378696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171365 (or 171355 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 10409378696128 in words is "ten trillion, four hundred nine billion, three hundred seventy-eight million, six hundred ninety-six thousand, one hundred twenty-eight".